Question

Find the first four iterates of the function f(x) = 3x - 7 with an initial value of x0 = 4.

a.
-5, -8, -17, -44
c.
5, 8, 17, 44
b.
-7, -11, -15, -49
d.
7, 11, 15, 49

Answer 1

c. 5, 8, 17, 44

Explanation:

Put the given number into the formula and do the arithmetic:

3·4 -7 = 5 . . . . . matches answer choice C only

___

You know the correct answer at this point. You can check the other numbers if you wish:

3·5 -7 = 8

3·8 -7 = 17

3·17 -7 = 44